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Existence and stability of limit cycle fora class of Volterra equations

GAI Ping1, LIU Ting-zhan2, BAO Zhi-juan1   

  1. 1. Department of Mathematics, Baicheng Normal College, Baicheng 137000, China;2. Institute of Mathematics, Jilin University, Changchun 130012, China
  • Received:2004-03-01 Revised:1900-01-01 Online:2004-07-26 Published:2004-07-26
  • Contact: GAI Ping

Abstract: We studied the existence and stability of limit cycles for a class of Volterra equations by constructing the Dulac function and Poincaré region, and applying the uniqueness theorem and the Friedrich methods for bifurcations and obtained several results on the existence and stability of limit cycles.

Key words: limit cycles, Volterra equations, uniqueness, singular point

CLC Number: 

  • O153